Question

Three bells ring together at 8:30 a.m. If they ring at the intervals of 4 minutes, 5 minutes and 6 minutes respectively, then at what time will they ring together
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Answer 1

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Answer 2

This is equivalent to finding the least common multiple (LCM) of the three intervals of time, adding this number (as minutes) to the start time, resulting in the new synchronized time.

since

5=51

6=31⋅21

10=51⋅21

one obtains;

LCM(5,6,10)=21⋅31⋅51=30

Next synchronization time is;

8:00 AM+30m=8:30 AM.